The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 51
And the square BDEC ' is described on BC , and the squares GB , HC on BA , AC . Therefore the square described on the side BC is equal to the squares described on the sides BA , AC . Wherefore , in any right - angled triangle & c .
And the square BDEC ' is described on BC , and the squares GB , HC on BA , AC . Therefore the square described on the side BC is equal to the squares described on the sides BA , AC . Wherefore , in any right - angled triangle & c .
Página 211
In any right - angled triangle , any rectilineal figure described on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle . Let ABC be a right - angled ...
In any right - angled triangle , any rectilineal figure described on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle . Let ABC be a right - angled ...
Página 270
of the squares described on the other two sides , the angle opposite to the first side is obtuse . For the angle cannot be a right angle , since the square described on the first side would then be equal to the sum of the squares ...
of the squares described on the other two sides , the angle opposite to the first side is obtuse . For the angle cannot be a right angle , since the square described on the first side would then be equal to the sum of the squares ...
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ABCD angle ABC angle ACB angle BAC Axiom base BC is equal bisected Book centre circle circle ABC circumference common Construction contained Corollary Definition demonstration described diameter divided double draw drawn edition Elements equal equal angles equiangular equilateral equimultiples Euclid exterior angle extremities fall figure four fourth given straight line greater half Hypothesis impossible join less Let ABC magnitudes manner meet multiple namely parallel parallelogram pass perpendicular plane polygon PROBLEM produced proportionals Q.E.D. PROPOSITION ratio reason rectangle rectangle contained rectilineal figure right angles segment shewn sides similar Simson solid square straight line &c suppose Take taken THEOREM third touches the circle triangle ABC Wherefore whole
Información bibliográfica
| Título | The Elements of Euclid, Libros 1-6;Libro 11 Tema 891 de Everyman's library Tema 891 de Everyman's library, ed. by Ernest Rhys. Science. [No. 891] Tema 891 de Everyman's library: Science |
| Autor | Euclid |
| Editores | Isaac Todhunter, Robert Simson |
| Editor | J.M. Dent & Sons, Limited, 1933 |
| Procedencia del original | Universidad de California, Berkeley |
| Digitalizado | 5 Ago. 2019 |
| Largo | 298 páginas |
| Exportar cita | BiBTeX EndNote RefMan |